Starting Out with Java: Early Objects (6th Edition)
6th Edition
ISBN: 9780134457963
Author: GADDIS
Publisher: PEARSON
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Chapter 7, Problem 21PC
Program Plan Intro
Lo Shu Magic Square
Program Plan:
- Import the required packages.
- Declare the class “Main”.
- Declare the “main ()” method.
- Declare two 2-Dimensional arrays.
- Call the function “show_Array ()” to display the array.
- Call the function “show_Result ()” to display the result.
- Give function definition for “show_Result ()”.
- Check if the square is a magic square by calling the function “isMagicSquare ()”.
- If yes, then print the positive message.
- Else,
- Print the negative message.
- Check if the square is a magic square by calling the function “isMagicSquare ()”.
- Give function definition for “show_Array ()” to display the array.
- Using nested “for” loops, print the values of the array.
- Give function definition for “isMagicSquare ()”.
- Declare a Boolean variable.
- Call the function “check_Range ()”, “checkUnique ()”, “checkRowSum ()”, “check_ColSum ()”, and “check_DiagSum ()”.
- Check the condition “is_InRange && is_Unique && is_EqualRows &&is_EqualCols && is_EqualDiag”.
- Assign “true” to the Boolean variable.
- Return the variable.
- Give function definition for “check_Range ()”.
- Declare required variables.
- Using nested “for” loops, check the condition “array[row][col] < MIN || array[row][col] > MAX”.
- Assign “false” to the Boolean variable.
- Return the variable.
- Give function definition for “check_Unique ()”.
- Declare required variables.
- Using the while condition “searchValue <= MAX && status == true”.
- Using nested “for” loops,
- Check the condition “array[row][col] == searchValue”,
- Increment the counter variable.
- Check if count value is greater than 1.
- Assign “false” to the Boolean variable.
- Check the condition “array[row][col] == searchValue”,
- Increment the variable “searchValue”.
- Assign 0 to the counter variable.
- Using nested “for” loops,
- Return the status.
- Give function definition for “check_RowSum ()”.
- Declare a variable.
- Calculate the sum of 1st row, 2nd row and 3rd row.
- Check if all the values are not equal to each other.
- Assign “false” to the Boolean variable.
- Return the variable.
- Give function definition for “check_ColSum ()”.
- Declare a variable.
- Calculate the sum of 1st column, 2nd column and 3rd column.
- Check if all the values are not equal to each other.
- Assign “false” to the Boolean variable.
- Return the variable.
- Give function definition for “check_DiagSum ()”.
- Declare a variable.
- Calculate the sum of 1st diagonal, and 2nd diagonal.
- Check if all the values are not equal to each other.
- Assign “false” to the Boolean variable.
- Return the variable.
- Declare the “main ()” method.
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Lo Shu Magic Square C++
The Lo Shu Magic Square is a grid with 3 rows and 3 columns. The Lo Shu Magic Square has the following properties:
The grid contains the numbers 1 through 9, each cell is unique.
The sum of each row, each column, and each diagonal all add up to the same number.
Write a program that creates a 2D array of size 3x3, and fills each cell withn random, unique values betweem 1 and 9. Print the values. Determine if the 2D array is a Lo Shu Magic Square and print the results.
Sample Output
Run the program when the 2D array is a lo shu square.
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The program prints the values correctly.
The program determines whether or not the 2D array is a Lo Shu Magic Square and prints the results.
The program must use at least one function besides main for credit.
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Chapter 7 Solutions
Starting Out with Java: Early Objects (6th Edition)
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